Question

Write an equation for the given ellipse.

Answer 1

Step 1:.

Observe the graph: The ellipse is horizontal.

Standard form of horizontal ellipse .

Where

is length of semi major axis and is length of semi minor axis.

Center is .

Center of the ellipse is .

Step 2:

Find the value of .

is the distance between center and vertex of the ellipse.

From the graph: One of the vertex is .

Find the distance between and .

.

Step 3:

Find the value of .

is the distance between center and co-vertex point.

From the graph: One of the co-vertex is .

Find the distance between and .

Substitute the values of , and in .

.

Solution:

The ellipse equation is .